86545800 has 384 divisors, whose sum is σ = 342835200. Its totient is φ = 19872000.

The previous prime is 86545783. The next prime is 86545813. The reversal of 86545800 is 854568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1841377 + ... + 1841423.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^86545800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

86545800 is an abundant number, since it is smaller than the sum of its proper divisors (256289400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86545800 is a wasteful number, since it uses less digits than its factorization.

86545800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 86545800 is about 9302.9995162851. Note that the first 3 decimals coincide. The cubic root of 86545800 is about 442.3323122159.

It can be divided in two parts, 865 and 45800, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 86545800 in words is "eighty-six million, five hundred forty-five thousand, eight hundred".